Abstract
Using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve over a finite field, we construct sequences with improved high nonlinear complexity. In particular we improve the bound obtained in Niederreiter and Xing (IEEE Trans Inf Theory 60(10):6696–6701, 2014, Theorem 3) considerably and the bound in Niederreiter and Xing (2014, Theorem 4) for some parameters.
Originalsprog | Engelsk |
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Tidsskrift | Semigroup Forum |
Vol/bind | 98 |
Sider (fra-til) | 543-555 |
Antal sider | 13 |
ISSN | 0037-1912 |
DOI | |
Status | Udgivet - 2019 |